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Trend Line Calculator (Linear Regression)
x402
Trend Line Calculator (Linear Regression) is a paid API for AI agents from x402.forgemesh.io, paid per call via x402, $0.002/call, status unknown (last checked 2026-09-15).
Fits a least-squares straight trend line through x/y data pairs, returning slope, y-intercept, and R-squared fit quality for linear trend analysis.
Price / call$0.002
Success—
StatusUnknown
How this service works
Fits a straight trend line through a set of x/y data pairs and returns slope, y-intercept, and R-squared fit quality. Useful for spotting growth trends, forecasting next values from historical data, and validating whether a relationship is actually linear before an agent bases a decision on it. Computed exactly, with no sampling error.
Output
Returns the slope (rate of change), y-intercept (value when x=0), and R-squared coefficient (0-1 fit quality) of the best-fit straight line through the provided x/y data pairs. R-squared close to 1 indicates a strong linear relationship.
Example use cases
Example prompt
“Fit a straight trend line through these data points and tell me the slope, y-intercept, and how good the linear fit is: x = [1, 2, 3, 4, 5] and y = [2.1, 3.9, 6.2, 8.0, 10.1].”
Technical details
Endpoint
POSThttps://x402.forgemesh.io/trend-line-calculatorWhen to prefer
Choose this endpoint when you need an exact, analytically computed linear regression with no sampling error on a set of numeric x/y pairs — especially when validating linearity (via R-squared) before making downstream decisions, detecting growth trends in time-series data, or forecasting the next value from a historical sequence. Prefer this over general-purpose ML or statistics APIs when you need a fast, cheap, precise result for simple linear trend fitting without standing up your own compute.
Side effects
- Mismatched array lengths between x and y inputs — returns error
- Fewer than 2 data points provided — insufficient for regression
- Non-numeric values in input arrays — schema validation failure
- All x values identical — division by zero in slope calculation
- Payment failure or insufficient USDC balance — 402 response
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| x | array | |
| y | array |
Output
Schema · Response
{
"type": "json",
"example": {
"slope": 1.9,
"equation": "y = 1.9x + -0.5",
"intercept": -0.5,
"r_squared": 0.966
}
}Tags
x402
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